PSI - Issue 47

Daniela Scorza et al. / Procedia Structural Integrity 47 (2023) 30–36 Scorza et al. / Structural Integrity Procedia 00 (2023) 000–000

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5

0.0 0.1 0.2 0.3 0.4 0.5 DIMENSIONLESS DEFLECTION [-] θ = 0°.0

Nonlocal SDM Local theory

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 RELATIVE CRACK DEPTH, ξ [-]

0 .0 θ = ° . The case of the solution obtained by applying the local classical

Fig. 2. Dimensionless deflection against relative crack depth, ξ , for

beam theory is also reported.

0.0 0.1 0.2 0.3 0.4 0.5 DIMENSIONLESS DEFLECTION [-] θ = 22°.5

Nonlocal SDM Local theory

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 RELATIVE CRACK DEPTH, ξ [-]

22 .5 θ = ° . The case of the solution obtained by applying the local classical

Fig. 3. Dimensionless deflection against relative crack depth, ξ , for

beam theory is also reported.

0.0 0.1 0.2 0.3 0.4 0.5 DIMENSIONLESS DEFLECTION [-] θ = 45°.0

Nonlocal SDM Local theory

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 RELATIVE CRACK DEPTH, ξ [-]

45 .0 θ = ° . The case of the solution obtained by applying the local classical

Fig. 4. Dimensionless deflection against relative crack depth, ξ , for

beam theory is also reported.

In Figs. 5-7 the dimensionless transversal displacement is plotted against the dimensionless axial coordinate , x L when 05 . ξ = , for the three examined values of θ . In each Figure, the case of an intact nanobeam (that is, 00 . ξ = ) is also reported. It can be observed that the maximum value of deflection is found when the crack angle is equal to 0 .0. °

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